9th Class Science Force and laws of motion Question Bank Case Based MCQs - Force and Laws of Motion

  • question_answer
    How much momentum will a dumb bell of mass 10 kg transfer to the floor, if it falls from a height of 80 cm ? [Take, its downward acceleration to be \[10c{{m}^{-2}}\] ]

    A) 10kg-\[{{\operatorname{ms}}^{-1}}\]   

    B) 20kg-\[{{\operatorname{ms}}^{-1}}\]

    C) 3ukg-\[{{\operatorname{ms}}^{-1}}\]   

    D) 40kg-\[{{\operatorname{ms}}^{-1}}\]

    Correct Answer: D

    Solution :

    [d] Given, m = 10 kg, u = 0
           s = 80 cm = 0.8 m
    Using, \[{{v}^{2}}-{{u}^{2}}=2as\]
    \[{{v}^{2}}=2\times 10\times 0.8=16\]
    Or         \[v=4{{\operatorname{ms}}^{-1}}\]
    \[\therefore \] Momentum transferred,
               \[p=mv=10\times 4=40\operatorname{kg}-m{{s}^{-1}}\]


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